The Estimation for the Eigenvalues of Stochastic Matrices

Yuan Lu

Abstract

The purpose of this paper is to locate and estimate the eigenvalues of stochastic matrices. We present several estimationtheorems about the eigenvalues of stochastic matrices. Meanwhile, we obtain the distribution theorem for the eigenvaluesof tensor product of two stochastic matrices. We will conclude the paper with the distribution for the eigenvalues ofgeneralized stochastic matrices.

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